An object with a mass of #2 kg# is acted on by two forces. The first is #F_1= <5 N , 1 N># and the second is #F_2 = < 2 N, -4 N>#. What is the object's rate and direction of acceleration? Physics Forces and Newton's Laws Newton's Second Law 1 Answer Sarthak Aug 12, 2017 #|vec a| ~~ 3.8 m*s^(-2)# #hata = 1/sqrt(58)(7hati - 3hatj)# Explanation: #vec F_1 = (5hati + hatj) N# #vec F_2 = (2hati - 4hatj)N# #vec F_(n et) = (7hati - 3hatj)N# #m = 2kg# #vec a = vec F/m# #vec a = (7/2hati - 3/2hatj) m*s^(-2)# #|vec a| = sqrt((7/2)^2 + (3/2)^2)# #rArr |vec a| = sqrt(58)/2# #rArr |vec a| ~~ 3.80 m*s^(-2)# #vec a = |vec a| * hat a# #hat a = vec a/|vec a|# #rArr hat a = (7/2hati - 3/2hatj)* 2/sqrt(58)# #rArr hat a = 1/(sqrt(58))(7hati - 3hatj) # Answer link Related questions What are some common mistakes students make with Newton's second law? How does Newton's second law relate to inertia? How does Newton's second law relate to the force of gravity? How can I calculate the Newton's second law? How is it possible to demonstrate Newton's second law? What force will a car hit a tree If the car has a mass of 3000kg and is accelerating at a rate of 2m/s2? Why is the Newton's second law called the equation law? Use Newton's second law of motion to calculate the acceleration of a 7kg mass if a force of... A force of 63N acting upon a given object results in an acceleration of 9 m/s^2. If the... A 31.9 kg boy and a 55.6 kg girl are on the surface of a frozen lake, 10.0 m apart. Using a... See all questions in Newton's Second Law Impact of this question 1387 views around the world You can reuse this answer Creative Commons License